3765352500000 has 1536 divisors, whose sum is σ = 16923331676160. Its totient is φ = 793152000000.

The previous prime is 3765352499927. The next prime is 3765352500023. The reversal of 3765352500000 is 52535673.

3765352500000 is a `hidden beast` number, since 3 + 76 + 535 + 2 + 50 + 0 + 0 + 0 + 0 = 666.

3765352500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6142499694 + ... + 6142500306.

It is an arithmetic number, because the mean of its divisors is an integer number (11017794060).

Almost surely, 2^{3765352500000} is an apocalyptic number.

3765352500000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765352500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461665838080).

3765352500000 is an abundant number, since it is smaller than the sum of its proper divisors (13157979176160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3765352500000 is an frugal number, since it uses more digits than its factorization.

3765352500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 3765352500000 in words is "three trillion, seven hundred sixty-five billion, three hundred fifty-two million, five hundred thousand".